On Abelian Groups Having All Proper Characteristic Subgroups Isomorphic

Autor:	Chekhlov, Andrey R., Danchev, Peter V.
Rok vydání:	2023
Předmět:	Mathematics - Rings and Algebras Mathematics - Group Theory 20K10
Druh dokumentu:	Working Paper
Popis:	We consider two variants of those Abelian groups with all proper characteristic subgroups isomorphic and give an in-depth study of their basic and specific properties in either parallel or contrast to the Abelian groups with all proper fully invariant subgroups isomorphic, which are studied in details by the current authors in Commun. Algebra (2015). In addition, we also examine those Abelian groups having at least one proper characteristic subgroup isomorphic to the whole group. The established by us results somewhat extend those obtained by Grinshpon-Nikolskaya in Tomsk State Univ. J. Math. & Mech. (2011, 2012) and in Commun. Algebra (2011), respectively. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.08924 Zobrazit plný text záznamu View this record from Arxiv